The northern Irish rockers, the final band of the night, were introduced by Radio 1 DJs Chris Moyles and Vernon Kay to an ecstatic reception.
Prior to Snow Patrol's set, 25 acts took to four stages as the sun shined across the wooded festival site.
Emo rockers Fightstar and all-girl pop group The Saturdays were amongst the first acts to play on Saturday after the gates opened at midday.
Dizzee at Radio 1's Big Weekend
British rapper Dizzee Rascal drew one of the largest crowds of the weekend. His set included chart hit Dance Wiv Me - where he was joined by Calvin Harris - and current single Bonkers.
"It went off, it went off," said a sweat-soaked Dizzee after his set. "I knew it was going to be a good vibe. Bonkers, bonkers, it went mad."
Calvin Harris, who recently went to number one with I'm Not Alone, said: "It's good, I love Swindon, and I'll come back to Swindon maybe on a holiday!"
Thousands of punters also flocked to see Leicester rockers Kasabian as the sun went down. They played a frantic set including Club Foot and Vlad The Impaler.
Newsbeat caught guitarist Serge Pizzorno. He said: "We've just walked offstage, it was wonderful they were all clapping and cheering. [The crowd were] a lot younger than I expected. Fire was great tonight I thought. They were really loud the crowd - at points, deafening."
Elsewhere on site, Basement Jaxx and Friendly Fires both brought carnival-style stage shows to Swindon.
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